Handbook of Laplace Transformation: Fundamentals, Applications, Tables, and Examples |
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1+as+bs² 1+Ts 2Τζωι A B C amplitude angle C₁ circuit coefficients column constant cos Wt D₁ damping damping ratio denominator determinant differential equations e-at e-bt e-ct e-wit e-Zt sin Wt E₁ electrical network example f(tn f(to force function Holzer tabulation initial value input K₁ K₂ LAPLACE TRANSFORM PAIRS M₁ mass missile mode frequency N₁ partial fractions pulse R₁ R₂ radians radians/sec recurring waveform resonant magnification result roots s²/w₁² Section 3.30 Eq shown in Fig sine waves sinusoidal Solution solve square wave Substituting T₁ T₁² T₂ T² w₁² T₂² Table tan-¹ tan-1 Twi Tiwi TRANSFORM PAIRS cont transient U₁² U2 Z² U₂² unit step voltage w₁ w₁t W²)² W²]² w₂² X₁ yields Z₁² zero αζωι εται ζωι Τζωι Τιζωι ωι